1 is 2/3 of of 1.5 2/3 * 135 = 90 stamps from Canada
1.2 / 1.5 * 135 = 108 from US
135 + 90 + 108 = ....... total stamps
solve the stimultaneous equations 4x-y=13 x+y=2
Hello Guest!
\(4x-y=13\\ x+y=2 \\ y=2-x\\ 4x-(2-x)=13\\ 4x-2+x=13\\ 5x=15 \)
\(x=3\)
\(y=2-x\\ y=2-3\)
\(y=-1\)
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ARC AS = 2 * 77
then PS = 360 - (2*77) - 128 = ..............o
pi * d is the perimeter of the wheel or pi 2 r
noah has travelled 135 out of 360 degrees of the perimeter
135/360 * pi * 2 * 15 m is how far he has travelled
priya has travelled 135/ 360 * pi * 2 * 30 m
I believe the two inscribed angles are = (since they intercept the same arc)
so x = 4x-178 ( x is SAP ...or SOP)
-3x = -178
x = 59.33o
∠SAP ≅ ∠SOP
4x - 178 = x
3x = 178
x = 59.33333º
∠SOP = 59.33333º
∠AOB = 1* (360 / 10) = 36º
∠BOC = 3* (360 / 10) = 102º
Let M and N be the midpoints of line segments AB and BC.
∠MBO = 1/2 (180 - 36) = 72º
∠NBO = 1/2 (180 - 102) = 39º
∠ABC = 72º + 39º = 111º
2^1998 - 1 =3^4×7×19×73×223×1777×1999×3331×7993×10657×17539×23977×87211×169831×262657×304363×321679×1238761×25781083×26295457×36085879×319020217×473589937×616318177×5814899281×698962539799×88394945315123670399802368816023051352577985551521318859558081671366668655738553549482299216629884242626778585819274284770649396069272538413356538999183402392842975314442019321272923655248799544447055283673275666242215143015515127906359454369777040253652770303527806017975875843941430548586242460777933782626885472005549468971541624068258887410361988207308348370028082290984672424013550556006244827364709490313087534123815954202722034801442686738788221080662810713 (26 distinct prime factors, 1 distinct composite factor)
2^1989 - 1 =7×73×79×103×919×937×1327×2143×6553×8191×11119×47737×86113×121369×131071×336089287×7830118297×53607298019778595876555247053474864079403922162363705204422078695640500380868629537704192703155520542113914841675518199974609107396848464329208559905730743823182728273623242296268157009690893725622001271117420374733952099078653711939037909469078647660607567177584111510102602709122426446611921742774594407413191277420199550022528650921856305631871598849163633075573106102010715801748951249401392382569248897668089063149908100388249288510975204735432605449376146379767550161566501587127294339643313651565364676607398847140677869743 (17 prime factors, 1 composite factor)
GCD = 7 x 73 = 511
height will be zero when it hits the ground
0 = -4.9t^2-3.5t+ 2.4 use Quadratic formula to find t = .429 seconds
sin of 42 = opposite side/ hypotenuse hypotenuse is what you are looking for and opposite side is 38
sin42 = 38/hypotenuse solve for hypotenuse (the kite string length)
x = 14.1666......
10 x = 141.6666666
100x = 1416.666666
100x - 10 x = 1275
90x = 1275
x = 1275/90 = 85/6 = 14 1/ 6
Answer is 2
1
a Slope=y2-y1 divided by x2-x1
b Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
c This can be done by calculating the slope between two known points of the line using the slope formula. Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
This is all I could find for you, sorry if this is not enough.
Between 1,000 and 9,999 =9,000 four-digit numbers.
A =9,000 / 2 = 4,500 Odd numbers.
B =9,000 / 7 =1,286 multiples of 7
[A + B] = [4,500 + 1,286] =5,786
The sum of 3 consecutive even numbers is 270
What is the first number in this sequence?
The first guest showed you the way I would have done it.
But just for grins, here's another way to do it:
Let x = the first number
Let x + 1 = the second number
Let x + 2 = the third number
So, x + (x + 1) + (x + 2) = 270
3x + 3 = 270
3x = 267
x = 89
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[5 + G] /[3+ 4 + 5 + G] =0.8, solve for G
G = 23 Green marble must be added.
Check: [23 + 5] / [3 + 4 + 5 + 23] =28 / 35 =80% Green marbles.
By your count, here are first 20 Lucas numbers.
1 , 3 , 4 , 7 , 11 , 18 , 29 , 47 , 76 , 123 , 199 , 322 , 521 , 843 , 1364 , 2207 , 3571 , 5778 , 9349 , 15127, 24476 [This is the 20th Lucas number by your count!!].
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Just divide 270 / 3 =90 - this is the "average" of the 3 numbers. So, the first number is:90 - 1 =89, and the 2nd number is:90, and the 3rd number is: 90 + 1 =91. So: 89 + 90 + 91 =270.
1 - 11 /37 =0.2972972972972972972972972972972972972972 =236
2 - 1/148 =0.00675675675675675675675675675676.......etc. [2016 -2] mod 3 =1, which means the 2016th digit is the first digit of repeating triplets of "675" = 6
3 - 99 / 222 =0.44594594594594594594594594594595.....etc. After the first 4 to the right of the decimal, the "repeating block" is 459, or size 3, sometimes called "the period".
Well, what is half of 300 dollars?
300 / 2 = 150 dollars. Right?
150 /1.64 = 91.46 British pounds
150 /1.32 =113.64 Euros
113.64 - 91.46 =22.18 Round it to 22 more Euros than British pounds.
Fare = 3 + d*0.80
6.75 =3 + d*0.80, solve for d
6.75 - 3 = d*0.80
3.75 =d*0.80 divide both sides by 0.80
d =3.75 / 0.80
d =4.6875 miles.
There are 414 ways to form the committee.
Billy should add 4 pounds of dry leaves.
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